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Grade 6 · Number · Fractions, Decimals, and Percents

Reason with Thousandths and Percent

Thousandths allow more precise measurement, while fractions and percents reveal relationships to a whole.

The big idea

Equivalent forms preserve the same quantity

The fraction 3/8 equals 0.375 because 3 ÷ 8 = 0.375. Multiplying by 100 shows the same amount as 37.5%.

Work it through

Compare 0.375, 38%, and 3/8

  1. 1. Convert 3/8 to a decimal: 3 ÷ 8 = 0.375.
  2. 2. Convert 38% to a decimal: 38 ÷ 100 = 0.38.
  3. 3. Compare thousandths: 0.380 is greater than 0.375.
  4. 4. Therefore 38% is slightly greater than 3/8.